2(3x+4)-5=7-x

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Solution for 2(3x+4)-5=7-x equation:


Simplifying
2(3x + 4) + -5 = 7 + -1x

Reorder the terms:
2(4 + 3x) + -5 = 7 + -1x
(4 * 2 + 3x * 2) + -5 = 7 + -1x
(8 + 6x) + -5 = 7 + -1x

Reorder the terms:
8 + -5 + 6x = 7 + -1x

Combine like terms: 8 + -5 = 3
3 + 6x = 7 + -1x

Solving
3 + 6x = 7 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
3 + 6x + x = 7 + -1x + x

Combine like terms: 6x + x = 7x
3 + 7x = 7 + -1x + x

Combine like terms: -1x + x = 0
3 + 7x = 7 + 0
3 + 7x = 7

Add '-3' to each side of the equation.
3 + -3 + 7x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 7 + -3
7x = 7 + -3

Combine like terms: 7 + -3 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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